A rectangle has a perimeter of (12+8y). If one side of the rectangle is (4x-2y), write an expression of the other side.

P = 2 (l+w)

substitute for P and l

12+8y = 2 (4x-2y+w)

distribute

12+8y = 8x - 4y + 2w

solve for w

subtract 8x from each side

12 + 8y - 8x = - 4y+2w

add 4y to each side

12 + 12 y - 8x = 2w

divide by2

6 + 6y-4x = w

the other side is 6+6y-4x